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Finding the Fourth Proportional to 8,691.84, 13,043.70 and 4,798.98

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Solution

The fourth proportional to 8,691.84, 13,043.70 and 4,798.98 is: 7,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.84 : 13,043.70 = 4,798.98 : x
  2. Step 2: Convert to fraction form
    8,691.84/13,043.70 = 4,798.98/x
  3. Step 3: Cross multiply
    8,691.84x = 13,043.70 × 4,798.98
  4. Step 4: Simplify right side
    8,691.84x = 62,596,455.43
  5. Step 5: Solve for x
    x = 62,596,455.43/8,691.84
  6. Step 6: Final answer
    x = 7,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.